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Finding the Fourth Proportional to 143,146.10, 214,719.15 and 130,024.10

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Solution

The fourth proportional to 143,146.10, 214,719.15 and 130,024.10 is: 195,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,146.10 : 214,719.15 = 130,024.10 : x
  2. Step 2: Convert to fraction form
    143,146.10/214,719.15 = 130,024.10/x
  3. Step 3: Cross multiply
    143,146.10x = 214,719.15 × 130,024.10
  4. Step 4: Simplify right side
    143,146.10x = 27,918,664,231.52
  5. Step 5: Solve for x
    x = 27,918,664,231.52/143,146.10
  6. Step 6: Final answer
    x = 195,036.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.